Pro-democracy leader Aung San Suu Kyi says she hopes Sunday's by-elections mark the start of a new era in Burma.
Calling the polls a "triumph of the people", she said the goal now was reconciliation with other parties.
According to partial official results, Ms Suu Kyi's party took at least 40 of the 45 seats being contested, state media say.
Although the vote is seen as a key test of political reform, the army and its allies still dominate the parliament.
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